Just to add real quick: After Burner got an unlicensed port to the NES thanks to our friends at Atari Tengen (which was updated by none other than Sunsoft for a later Famicom release) so I'd call the 2A03 usage in this song kosher. Not that it wouldn't be if that port didn't exist, but there is at least a precedent.

Great song. There's a couple of remixes of it out there:
https://www.youtube.com/user/Kaminari3/search?query=%22Ninja+Warriors%22 http://dwellingofduels.net/dodarchive/13-09-DoD_Anniversary/10-Scaredsim-Medley-Hyperdrive-DoD.mp3 (shows up toward the end)
(cool video of a 1990 performance by Taito's house band ZUNTATA)